Co-H-spaces and the Ganea conjecture
The Ganea conjecture [\textit{T. Ganea}, Lect. Notes Math. 249, 23-30 (1971; Zbl 0237.55009)] states: does a co-H-space have the homotopy type of a one-point sum of a bunch of circles and a simply connected space? NEWLINENEWLINENEWLINEFirst, the author shows that a non-simply connected co-H-space \(X\) is the total space of a fibrewise-simply connected fibrewise co-Hopf fibration \(j : X\to B\pi_1(X)\) and studies its homology decomposition. Then a series of non-simply co-H-spaces is produced to disprove the Ganea conjecture.
scientific article; zbMATH DE number 1587565